The equation of the circle passing

Question:

The equation of the circle passing through the points (1, 0) and (0, 1) and having the

smallest radius is -

  1. $x^{2}+y^{2}+x+y-2=0$

  2. $x^{2}+y^{2}-2 x-2 y+1=0$

  3. $x^{2}+y^{2}-x-y=0$

  4. $x^{2}+y^{2}+2 x+2 y-7=0$

Correct Option: , 3

Solution:

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